Step-by-step explanation:
m² -12 = m
m² = m + 12
m = [tex]\sqrt{m + 12\\}[/tex]
The roof of the Terminal Tower is 709 feet above ground. A window washer dropped a bucket from the edge of the roof. How many seconds did it take for the bucket to hit the ground? Round to the nearest second
Answer:
6.64 seconds
Step-by-step explanation:
Given that:
Distance between roof of the terminal and ground = 709 feet
A bucket was dropped from the roof.
To find:
The time taken by the bucket to hit the ground?
Solution:
Distance traveled, [tex]s[/tex] = 709 feet
Initial velocity of the bucket, [tex]u[/tex] = 0 feet/sec (because initially it was at rest)
Acceleration of the bucket will be equal to acceleration due to gravity i.e.
[tex]g[/tex] or 32.1741 [tex]ft/sec^{2}[/tex]
Let the time taken is [tex]t[/tex] seconds.
Formula for distance is given as:
[tex]s = ut+\dfrac{1}{2}at^2[/tex]
Putting all the values:
[tex]709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}[/tex]
Describe the transformations applied to the following function.
f(x)=x4→g(x)=(x+2)4−5
Step-by-step explanation:
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A triangle has angle measurements 24º and 85°. What is the measure of the remaining angle?
Enter your answer in the box.
Answer:
71 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180.
180 - 24 - 85 = 71.
The required measure of the remaining angle would be 71°
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
A triangle has angle measurements of 24º and 85° which is given in the question.
The linear pair of angles are adjacent angles the sum of their measures is 180°
∵ The two angles form a linear pair
∴ The sum of the two angles = 180°
Let the measure of the remaining angle would be x
⇒ 24° + 85° + x = 180°
⇒ x = 180 - 24° - 85°
⇒ x = 71°.
Therefore, the required measure of the remaining angle would be 71°
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Elsa buys x pencils at 8 cents each and y pens at 12 cents
each.
What is the total cost?
Answer:
20 cents
Step-by-step explanation:
8+12=20 cents
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Find the slope of the line through each pair of points. (10.-12).(10,7)
Answer:
7-(-12)/10-10
19
I hope this is correct.
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (10, - 12) and (x₂, y₂ ) = (10, 7)
m = [tex]\frac{7+12}{10-10}[/tex] = [tex]\frac{19}{0}[/tex]
Since division by zero is undefined then the slope of the line is undefined
Please help.
Anna is currently 8 years older than her sister Taylor. In 4 years she will be 2 times as old as Taylor. Let x be Taylor’s current age and answer the question
How oldies Taylor (numerical form)
Answer:
Taylor is currently 12
Step-by-step explanation:
x = Taylor's current age
x + 8 = Anna's current age
in 4 years: x + 8 + 4 = 2x
12 = x
Answer:
If anna 8 yrs older and she will be 2 times older in 4 yrs then anna is 20
Taylor is currently 12
Step-by-step explanation:
in 4 years 24 will be anna
PLEASE HELP BRAINLIEST AND POINTS!!
Answer:
Help with what....??
Step-by-step explanation:
What happens first when a star begins to run out of fuel?
The star’s core shrinks.
The star becomes a black hole.
The star becomes a white dwarf.
The star’s outer layer drifts away.
Answer:
a
Step-by-step explanation:
When a star begins to run out of fuel, the first thing that happens is that the star’s core shrinks.
Option A is the correct answer.
What is the star's core in an automobile?In the context of an automobile, the term "core" usually refers to a component of a vehicle's cooling system called the radiator core.
The radiator core is responsible for dissipating heat from the engine coolant by allowing air to flow through a series of metal fins attached to narrow tubes that carry the coolant.
We have,
When a star begins to run out of fuel, the first thing that happens is that the star’s core shrinks.
This is because the energy produced by nuclear fusion reactions in the core of the star is what keeps the star from collapsing under its own gravity.
As the fuel for these reactions runs out, the core of the star no longer has enough energy to counteract the force of gravity, causing it to shrink.
This in turn causes the outer layers of the star to expand, leading to the next stage in the star’s life cycle.
Thus,
The star’s core shrinks.
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(What did Benjamin Franklin use to lighten the mood in Philadelphia where the Constitution was being written?)
Sense of humor.
Ice cream.
An air-cooling device he had invented.
Poetic readings.
Answer:
Ice cream
Step-by-step explanation:
During the 1787 convention in Philadelphia when the constitution was being formed by the founding fathers, their sessions would usually end in heated arguments and disagreements.
To calm the delegates after the draining sessions, Benjamin Franklin who was then mostly in his home and 81 years old at that time, came up with the idea of entertaining the delegates in his home with the cold cream. His idea was helpful in reducing tensions.
Answer:
An air cooling he has invented
Step-by-step explanation:
A billboard displays a large picture of a tire, draw to scale. The actual tire has a diameters of 40 inches. If the scale used for the picture is 1 3/4 feet equals 2 inches, what is the diameter of the tire, in feet, on the billboard? Plz I need it
Answer:
Diameter of the tire, in feet = 35 feet
Step-by-step explanation:
Given:
Actual diameter of tire = 40 inches
Scale; 1 3/4 feet = 2 inches
or
1.75 feet = 2 inches
Find:
Diameter of the tire, in feet
Computation:
Diameter of the tire, in feet = 40[1.75/2]
Diameter of the tire, in feet = 35 feet
make X the subject of the formula
will mark brainliest!!
Answer:
[tex]y = \frac{x + 2}{x - 4} \\ xy - 4y = x + 2 \\ xy - x = 4y + 2 \\ x(y - 1) = 4y + 2 \\ x = \frac{4y + 2}{y - 1} \\ \boxed{x = \frac{2(2y + 1)}{y - 1} }[/tex]
hope this helps.
Evaluate y=−4x+3, for x=4.
Answer:
y = -13
Step-by-step explanation:
Given
x = 4
y = - 4 * 4 + 3
= - 16 + 3
= - 13
Hope it will help :)
7th grade math help me please :))
Answer:
Try 300
Step-by-step explanation:
Because one full order would be 20 dollars and 20 times 15 equals 300
Answer:
your answer is option C $188
Which relationships have a constant of proportionality equal to 25? Pick 2 answers
Answer:
B and C.
Step-by-step explanation:
If you divide the y value by the x value then it would be 25 for B and C. A and D do not work. A does not work because as you move along the graph 25 divided by 2 and anything higher is not 25. I hope this helps!!
Answer:
b and c
Step-by-step explanation:
because 75/3=25
125/5=25 and and you already have the graph!
A. Group of students were competing to raise money for a local animal shelter their goal was to raise $400 Philip raised 60% of the goal by himself how much money with the rest of the students need to raised
Answer:
$160
Step-by-step explanation:
remaining money= 40% x $400= 160
Answer:
see explanation
Step-by-step explanation:
100 percent -60 percent =40 percent
rest money =40 percent of $400
=40/100×$400
=$160.
: the rest many needed by the student is $160.
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y=-5x+1
Step-by-step explanation:
First lets identify what slope intercept form looks like:
y=mx+b
m=slope
b=y-intercept
the y-intercept would be at (0,1)
choose 2 points from the graph and lets find the slope.
The formula for slope is:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex]
The points we will be using will be (1,-4) and (2,-9)
so -9 will be [tex]y_{2}[/tex] and -4 is [tex]y_{1}[/tex]
2 is [tex]x_{2\\}[/tex] and 1 is [tex]x_{1}[/tex]
set up the equation.
[tex]\frac{-9-(-4)}{2-1}[/tex]
[tex]\frac{-5}{1}[/tex]
m = -5
So the slope is -5 and the y-intercept is 1
[To find the y-intercept all you have to do is find what y is counting by. In this is would be -5. Go backwards one on the table so x is 0 and take away -5 and it will give you 1 which would be the intercept]
So the equation will be
y=-5x+1
Now when you want to solve it you plug in the x and y values for the table but it doesn't ask you to do that,
I've included a picture so you have a visual.
If you need further assistance, don't be afraid to reach out. Hope this helps!
Mrs Browns bill for servicing her car is £96 plus VAT. VAT is charged at 17.5%. What is her total bill?
_______________________________
T = V × P ÷ 100 + P= 17.5% × £96 ÷ 100 + £96= £112.8Mrs. Brown's Total Bill Is £112.8_______________________________
The total bill for servicing her car will be £112.8
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Mrs. Browns bill for servicing her car is £96 plus VAT.
And, VAT is charged at 17.5%.
Now,
Since, VAT is charged at 17.5%.
So, The VAT charge = 17.5% of £96
= 17.5 / 100 x £96
= £16.8
Hence, The total bill for servicing her car = £96 + £16.8
= £112.8
Thus, The total bill for servicing her car will be £112.8
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7) A $125.70 grocery total is discounted 30%. What is the total paid?
Answer:
$37.71
Step-by-step explanation:
125.70/10 = 12.57
12.57 * 3 = 37.71
Answer:
37.71
Step-by-step explanation:
The slope represents the ________ of a line.
Answer:
Gradient
Step-by-step explanation:
The slope represents the gradient of a line
Find the area of the composite figure.
Answer:
i think 48
Step-by-step explanation:
30 points! RIGHT ANSWER GETS BRAINLIEST!
Use 3 for pi. Area= (blank) circumference= (blank) meters
Answer:
Step-by-step explanation:
pi x 7 squared = 153.938040026
what is 130.45 + 3.287 ?
Step-by-step explanation:
130.45 + 3.287 = 133.737
Hope it will help :)
A airplane travels a speed of 300 miles per hour how far in miles will the air plane travel in 20 minutes decmal or fraction answer
Answer: [tex]15[/tex] or [tex]\frac{15}{1}[/tex]
Step-by-step explanation:
We need to divide 300 by 20.
We get [tex]15[/tex] or [tex]\frac{15}{1}[/tex].
Answer:150
Step-by-step explanation: if you do 30/2=15 add a zero=150
The diagonals of square LMNP intersect at K. Given that LK=3 and PN= 4.25
Answer:
Answer and steps in attachment
Step-by-step explanation:
name the three factors that determine simple interest
Step-by-step explanation:
We know , [tex] \boxed{ \sf{Interest = Principal \times Time \times Rate}}[/tex]
Looking at the formula of simple interest , the three factors that determine simple interest should be :
Principal : The money which is borrowed or deposited is called principal . It is denoted by ' P ' .Time : The duration of time for which principal is deposited or borrowed is termed as time period. It is denoted by ' T ' .Rate : The condition under which the interest is charged is called rate. It is denoted by ' R ' .Hope I helped !♡
Have a wonderful day / night ! ツ
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Someone plz help me ASAP
Answer:
its 12
Step-by-step explanation:
in the bottom right of this question click the button that says brainliest please
Graph the line that has a slope of 6 and includes the point (0,4).
Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:
[tex]y = 6x+4[/tex]
The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven
The slope m = 6The point (0, 4)The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y = 6x+4[/tex]
Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:
[tex]y = 6x+4[/tex]
The graph of the line y = 6x+4 is attached below.
Please answer and show your work its "Pythagorean Theorem Word Problems" the first one is answered to show how you will be answering it.
When you are answering each question mark it 2 to 9.
(8 questions)
Answer:
I hope the answers are right. Most of them should be though
Step-by-step explanation:
A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?
Answer:
A. 0.0058
Step-by-step explanation:
-2/3 x = -3/2 dont unserstand how to solve this
Answer:
yall dum
Step-by-step explanation: